Theorems · Definition · general topology

tsupport

{X : Type u_1} → {α : Type u_2} → [Zero α] → [TopologicalSpace X] → (X → α) → Set X

The topological support of a function is the closure of its support. i.e. the closure of the set of all elements where the function is nonzero.

Defined in

Mathlib.Topology.Algebra.Support

Cited by

178 results in Mathlib

Foundations

Depth 7 from the axioms, rests on 31 definitions · uses no axioms

Assumes

ZeroTopologicalSpace